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Finding the Third Proportional to 1,417,564 and 3,031,828

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Solution

The third proportional to 1,417,564 and 3,031,828 is: 6,484,349.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417,564 : 3,031,828 = 3,031,828 : x
  2. Step 2: Convert to fraction form
    1,417,564/3,031,828 = 3,031,828/x
  3. Step 3: Cross multiply
    1,417,564x = 3,031,828 × 3,031,828
  4. Step 4: Simplify right side
    1,417,564x = 9,191,981,021,584
  5. Step 5: Solve for x
    x = 9,191,981,021,584/1,417,564
  6. Step 6: Final answer
    x = 6,484,349.93

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.